Home > The Tamagawa number conjecture on motives and (phi, Gamma)-modules

The Tamagawa number conjecture on motives and (phi, Gamma)-modules

Start: 01/21/2014 - 12:15pm

End: 01/21/2014 - 1:10pm

Speaker:

Jay Daigle (California Institute of Technology)

Abstract:

This talk will provide a gentle introduction for non-experts to some recent developments in arithmetic geometry. The Tamagawa number conjecture on motives is a wonderful generalization of the classical analytic class number formula and the Birch and Swinnerton-Dyer conjecture. I will discuss the background of these two formulae and their relation to the Tamagawa Number conjecture. I will then give a brief overview of the theory of (phi, Gamma) modules and report on recent work with Matthias Flach using this theory to strengthen evidence for the conjecture.

Where:

Mudd Science Library 126, Pomona College

Misc. Information:

There will be a short organizational meeting preceding the talk at 12:00 noon.